Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
434 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 129 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #16840312 | C2 | semidirect |
| 2. C4×#11758222 | C2 | semidirect |
| 3. #16840087 | C2 | semidirect |
| 4. #16840058 | C2 | semidirect |
| 5. #16840053 | C2 | semidirect |
| 6. #16839963 | C2 | semidirect |
| 7. #16839958 | C2 | semidirect |
| 8. #16839909 | C2 | semidirect |
| 9. C4×#11758190 | C2 | semidirect |
| 10. C4×D488 | C2 | semidirect |
| 11. C61×#431 | C2 | semidirect |
| 107. D244 | #41 | semidirect |
| 114. Dic122 | #41 | semidirect |
| 155. #431 | D61 | semidirect |
| 156. C61 | #3106 | semidirect |